54242673404420 has 144 divisors (see below), whose sum is σ = 120711213484848. Its totient is φ = 20470921236480.

The previous prime is 54242673404407. The next prime is 54242673404429. The reversal of 54242673404420 is 2440437624245.

It can be written as a sum of positive squares in 8 ways, for example, as 1118196272704 + 53124477131716 = 1057448^2 + 7288654^2 .

It is not an unprimeable number, because it can be changed into a prime (54242673404429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227446040 + ... + 227684400.

It is an arithmetic number, because the mean of its divisors is an integer number (838272315867).

Almost surely, 2^{54242673404420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54242673404420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60355606742424).

54242673404420 is an abundant number, since it is smaller than the sum of its proper divisors (66468540080428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54242673404420 is a wasteful number, since it uses less digits than its factorization.

54242673404420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238710 (or 238685 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 47.

The spelling of 54242673404420 in words is "fifty-four trillion, two hundred forty-two billion, six hundred seventy-three million, four hundred four thousand, four hundred twenty".